A Note on c=1 Virasoro Boundary States and Asymmetric Shift Orbifolds
arXiv:hep-th/0201254 · doi:10.1088/1126-6708/2002/04/051
Abstract
We comment on the conformal boundary states of the c=1 free boson theory on a circle which do not preserve the U(1) symmetry. We construct these Virasoro boundary states at a generic radius by a simple asymmetric shift orbifold acting on the fundamental boundary states at the self-dual radius. We further calculate the boundary entropy and find that the Virasoro boundary states at irrational radius have infinite boundary entropy. The corresponding open string description of the asymmetric orbifold is given using the quotient algebra construction. Moreover, we find that the quotient algebra associated with a non-fundamental boundary state contains the noncommutative Weyl algebra.
21 pages, harvmac; v2: minor clarification in section 3.4; v3: a discussion on cocycles added in section 2, and low energy limit mistake removed and clarifications added in section 4.2
References in corpus (4)
Cited by in corpus (9)
- On the Boundary Entropy of One-dimensional Quantum Systems at Low Temperature
- D-branes in Nongeometric Backgrounds
- D-branes in an asymmetric orbifold
- N=2 Superconformal boundary states for free bosons and fermions
- Novel construction of boundary states in coset conformal field theories
- D-branes at multicritical points
- Twisted boundary states in c=1 coset conformal field theories
- Bulk induced boundary perturbations for N=1 superconformal field theories
- The Rolling Tachyon Boundary Conformal Field Theory on an Orbifold